Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation

Abstract

In this study, we considered the (3+1) dimensional a B-type Kademtsev-Petviashvili (KP) equation. Using the Lie group analysis, the symmetry reductions and exact analytic solutions were obtained. Traveling wave solutions were also deduced. Lastly, local conservation laws were constructed by using the multiplier and Ibragimov’s nonlocal conservation method.